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Finding the Fourth Proportional to 15,786.80, 23,687.49 and 7,024.22

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Solution

The fourth proportional to 15,786.80, 23,687.49 and 7,024.22 is: 10,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.80 : 23,687.49 = 7,024.22 : x
  2. Step 2: Convert to fraction form
    15,786.80/23,687.49 = 7,024.22/x
  3. Step 3: Cross multiply
    15,786.80x = 23,687.49 × 7,024.22
  4. Step 4: Simplify right side
    15,786.80x = 166,386,022.57
  5. Step 5: Solve for x
    x = 166,386,022.57/15,786.80
  6. Step 6: Final answer
    x = 10,539.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.